Traveling waves for monostable reaction-diffusion-convection equations with discontinuous density-dependent coefficients

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F24%3A43971901" target="_blank" >RIV/49777513:23520/24:43971901 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/60076658:12310/24:43908768

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0022247X24004037?dgcid=coauthor" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022247X24004037?dgcid=coauthor</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jmaa.2024.128481" target="_blank" >10.1016/j.jmaa.2024.128481</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Traveling waves for monostable reaction-diffusion-convection equations with discontinuous density-dependent coefficients

Popis výsledku v původním jazyce

This paper concerns wave propagation in a class of scalar reaction-diffusion-convection equations with p-Laplacian-type diffusion and monostable reaction. We introduce a new concept of a non-smooth traveling wave profile, which allows us to treat discontinuous diffusion with possible degenerations and singularities at 0 and 1, as well as only piecewise continuous convective velocity. Our approach is based on comparison arguments for an equivalent non-Lipschitz first-order ODE. We formulate sufficient conditions for the existence and non-existence of these generalized solutions and discuss how the convective velocity affects the minimal wave speed compared to the problem without convection. We also provide brief asymptotic analysis of the profiles, for which we need to assume power-type behavior of the diffusion and reaction terms.

Název v anglickém jazyce

Traveling waves for monostable reaction-diffusion-convection equations with discontinuous density-dependent coefficients

Popis výsledku anglicky

This paper concerns wave propagation in a class of scalar reaction-diffusion-convection equations with p-Laplacian-type diffusion and monostable reaction. We introduce a new concept of a non-smooth traveling wave profile, which allows us to treat discontinuous diffusion with possible degenerations and singularities at 0 and 1, as well as only piecewise continuous convective velocity. Our approach is based on comparison arguments for an equivalent non-Lipschitz first-order ODE. We formulate sufficient conditions for the existence and non-existence of these generalized solutions and discuss how the convective velocity affects the minimal wave speed compared to the problem without convection. We also provide brief asymptotic analysis of the profiles, for which we need to assume power-type behavior of the diffusion and reaction terms.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA22-18261S" target="_blank" >GA22-18261S: Nelineární úlohy s nestandardní difuzí</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Mathematical Analysis and Applications

ISSN

0022-247X

e-ISSN

1096-0813

Svazek periodika

539

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

26

Strana od-do

—

Kód UT WoS článku

001240423200001

EID výsledku v databázi Scopus

2-s2.0-85192297963